It is known that in low dimensions supports of Hölder doubling measures are C 1,β manifolds. In higher dimensions singularities may occur. We provide a full description of such supports by showing that they are C 1,β manifolds away from a closed set of measure zero and that at singular points they are uniformly far from being flat at every scale. © 2008 Springer-Verlag.
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 1 Jul 2009|